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Benchmark exact solutions for the static analysis of multilayered piezoelectric composite plates using PVDF

机译：使用PVDF的多层压电复合板静态分析的基准精确解决方案

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摘要

The three-dimensional (3D) exact solutions developed in the early 1970s by Pagano for simply supported multilayered orthotropic composite plates and later in the 1990s extended to piezoelectric plates by Hey-liger have been extremely useful in the assessment and development of advanced laminated plate theories and related finite element models. In fact, the well-known test cases provided by Pagano and by Heyliger in those earlier works are still used today as benchmark solutions. However, the limited number of test cases whose 3D exact solutions have been published has somewhat restricted the assessment of recent advanced models to the same few test cases. This work aims to provide additional test cases to serve as benchmark exact solutions for the static analysis of multilayered piezoelectric composite plates. The method introduced by Heyliger to derive the 3D exact solutions has been successfully implemented using symbolic computing and a number of new test cases are here presented thoroughly. Specifically, two multilayered plates using PVDF piezoelectric material are selected as test cases under two different loading conditions and considering three plate aspect ratios for thick, moderately thick and thin plate, in a total of 12 distinct test cases.
机译：帕加诺（Pagano）在1970年代初为简单支撑的多层正交异性复合板开发的三维（3D）精确解决方案，在1990年代后期由Hey-liger扩展到压电板，在评估和发展高级层压板理论方面非常有用和相关的有限元模型。实际上，由Pagano和Heyliger在较早的作品中提供的著名测试用例今天仍用作基准解决方案。但是，已经发布了3D精确解决方案的测试用例数量有限，这在一定程度上限制了对相同数量的测试用例的最新高级模型的评估。这项工作旨在提供更多的测试用例，以作为多层压电复合板静态分析的基准精确解决方案。 Heyliger引入的用于导出3D精确解的方法已使用符号计算成功实现，并且在此彻底介绍了许多新的测试用例。具体而言，在总共12个不同的测试用例中，选择了两种使用PVDF压电材料的多层板作为测试用例，在两种不同的负载条件下，并考虑了厚，中厚和薄板的三种板长宽比。

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  • 来源
    《Composite Structures》 |2014年第1期|389-395|共7页
  • 作者

    F. Moleiro; C.M. Mota Soares; C.A. Mota Soares; J.N. Reddy;

  • 作者单位

    IDMEC/IST, Instituto Superior Tecnico, University of Lisbon, Av. Rovisco Pais, 1049-001 Lisbon, Portugal,ISEL, Instituto Superior de Engenharia de Lisboa, Rua Conselheiro Emidio Navarro 1, 1959-007 Lisbon, Portugal;

    IDMEC/IST, Instituto Superior Tecnico, University of Lisbon, Av. Rovisco Pais, 1049-001 Lisbon, Portugal;

    IDMEC/IST, Instituto Superior Tecnico, University of Lisbon, Av. Rovisco Pais, 1049-001 Lisbon, Portugal;

    Texas A&M University, College Station, TX 77483-3123, USA;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Multilayered plates; Composite layers; Piezoelectric layers; PVDF piezoelectric material;

    机译：多层板;复合层;压电层;PVDF压电材料;

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